General probability theory -- Information and conditioning -- Brownian motion -- Stochastic calculus -- Risk-neutral pricing -- Connections with partial differential equations -- Exotic options -- American derivative securities -- Change of numéraire -- Term-structure models -- Introduction to jump processes -- A, Advanced topics in probability theory -- B, Existence of conditional expectations -- C, Completion of the proof of the second fundamental theorem of asset pricing -- References -- Index
Includes bibliographical references (pages 537-544) and index